Using the principle of mathematical induction prove that for all \(...

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Using the principle of mathematical induction prove that for all \( n \in N \) :
\[
\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\ldots+\frac{1}{(2 n+1)(2 n+3)}=\frac{n}{3(2 n+3)} .
\]
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